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Finding the Fourth Proportional to 356,502.90, 534,581.55 and 198,563.70

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Solution

The fourth proportional to 356,502.90, 534,581.55 and 198,563.70 is: 297,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,502.90 : 534,581.55 = 198,563.70 : x
  2. Step 2: Convert to fraction form
    356,502.90/534,581.55 = 198,563.70/x
  3. Step 3: Cross multiply
    356,502.90x = 534,581.55 × 198,563.70
  4. Step 4: Simplify right side
    356,502.90x = 106,148,490,519.74
  5. Step 5: Solve for x
    x = 106,148,490,519.74/356,502.90
  6. Step 6: Final answer
    x = 297,749.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.